86686217605120 has 832 divisors, whose sum is σ = 245161699246080. Its totient is φ = 28811831279616.

The previous prime is 86686217605063. The next prime is 86686217605139. The reversal of 86686217605120 is 2150671268668.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 218353192762 + ... + 218353193158.

Almost surely, 2^{86686217605120} is an apocalyptic number.

86686217605120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86686217605120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122580849623040).

86686217605120 is an abundant number, since it is smaller than the sum of its proper divisors (158475481640960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86686217605120 is a wasteful number, since it uses less digits than its factorization.

86686217605120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 58.

The spelling of 86686217605120 in words is "eighty-six trillion, six hundred eighty-six billion, two hundred seventeen million, six hundred five thousand, one hundred twenty".